How does the graph of y = 2x compare to the graph of y = 2x + 4?

The graphs of the two lines are parallel.

Notice that y = 2x has a slope of 2 and a y-intercept of 0.

y = 2x + 4 has a slope of 2 and a y-intercept of 4.

Notice that both of the lines have a slope of 2.

When lines have the same slope, the

graphs of the two lines are parallel.

When lines have different slopes, the

graphs of the lines will intersect.

Here, since both the lines have the same slope, 2,

we know that the lines are parallel.

If we compare the y-intercepts of the two graphs, we can see that the graph of y = 2x is translated 2 units down from y = 2x + 4.

While you don't need to draw the graph in order to answer this question, a good way to check your answer is by graphing both lines on the same graph and comparing what they look like.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

i need the options

step-by-step explanation: